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Finding the Fourth Proportional to 38,407.80, 57,741.30 and 32,705.40

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Solution

The fourth proportional to 38,407.80, 57,741.30 and 32,705.40 is: 49,168.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,407.80 : 57,741.30 = 32,705.40 : x
  2. Step 2: Convert to fraction form
    38,407.80/57,741.30 = 32,705.40/x
  3. Step 3: Cross multiply
    38,407.80x = 57,741.30 × 32,705.40
  4. Step 4: Simplify right side
    38,407.80x = 1,888,452,313.02
  5. Step 5: Solve for x
    x = 1,888,452,313.02/38,407.80
  6. Step 6: Final answer
    x = 49,168.46

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.